3544107456400 has 675 divisors, whose sum is σ = 10646132787641. Its totient is φ = 1133524008960.

The previous prime is 3544107456389. The next prime is 3544107456401. The reversal of 3544107456400 is 46547014453.

The square root of 3544107456400 is 1882580.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 3260725839504 + 283381616896 = 1805748^2 + 532336^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3544107456401) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 31363782744 + ... + 31363782856.

Almost surely, 2^{3544107456400} is an apocalyptic number.

3544107456400 is the 1882580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3544107456400

3544107456400 is an abundant number, since it is smaller than the sum of its proper divisors (7102025331241).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3544107456400 is an equidigital number, since it uses as much as digits as its factorization.

3544107456400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 43.

The spelling of 3544107456400 in words is "three trillion, five hundred forty-four billion, one hundred seven million, four hundred fifty-six thousand, four hundred".